Search a number
-
+
10005053101 = 263110934303
BaseRepresentation
bin10010101000101100…
…01111111010101101
3221211021021100200021
421110112033322231
5130442243144401
64332443002141
7502635356011
oct112426177255
927737240607
1010005053101
11427465652a
121b32809351
13c35a69484
146acaba541
153d855a2a1
hex25458fead

10005053101 has 8 divisors (see below), whose sum is σ = 10052444160. Its totient is φ = 9957733392.

The previous prime is 10005053021. The next prime is 10005053131. The reversal of 10005053101 is 10135050001.

10005053101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005053101 - 211 = 10005051053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005053131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274516 + ... + 308818.

It is an arithmetic number, because the mean of its divisors is an integer number (1256555520).

Almost surely, 210005053101 is an apocalyptic number.

It is an amenable number.

10005053101 is a deficient number, since it is larger than the sum of its proper divisors (47391059).

10005053101 is a wasteful number, since it uses less digits than its factorization.

10005053101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35675.

The product of its (nonzero) digits is 75, while the sum is 16.

The spelling of 10005053101 in words is "ten billion, five million, fifty-three thousand, one hundred one".

Divisors: 1 263 1109 34303 291667 9021689 38042027 10005053101